47284490119680 has 3200 divisors, whose sum is σ = 200412955607040. Its totient is φ = 10622339481600.

The previous prime is 47284490119649. The next prime is 47284490119681. The reversal of 47284490119680 is 8691109448274.

47284490119680 is a `hidden beast` number, since 4 + 7 + 2 + 84 + 490 + 1 + 1 + 9 + 68 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (47284490119681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 372318819777 + ... + 372318819903.

Almost surely, 2^{47284490119680} is an apocalyptic number.

47284490119680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47284490119680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100206477803520).

47284490119680 is an abundant number, since it is smaller than the sum of its proper divisors (153128465487360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

47284490119680 is a wasteful number, since it uses less digits than its factorization.

47284490119680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 47284490119680 in words is "forty-seven trillion, two hundred eighty-four billion, four hundred ninety million, one hundred nineteen thousand, six hundred eighty".